G8 T2 Pretest
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Grade 8 Trimester 2 Pre-Test 1. Determine if the following problem has one solution, no solutions or infinitely many solutions. If there is one solution, find it. Joe is seven years older than Ryan. In 7 years, Joe will be eleven more than Ryanβs current age. How old is Ryan? A. One solution, 7 years old B. One solution, 11 years old C. No solutions D. Infinitely many solutions
2. Determine if the following problem has one solution, no solutions or infinitely many solutions. If there is one solution, find it. If you subtract 16 to this number and triple the sum, the result is the same as is you had left the number unchanged. What is the number? A. One solution, 16 B. One solution, 24 C. No solutions D. Infinitely many solutions Copyright Β© Swun Math Grade 7 Trimester 2 Pre-Test, Page 1
3. Determine if the following problem has one solution, no solutions or infinitely many solutions. If there is one solution, find it. 7 3π₯ π₯β7+ π₯ = + 9 + 2(π₯ + 4) 4 4 A. One solution, β28 B. One solution, 44 C. No solutions D. Infinitely many solutions 4. A chemist has 600 mL of a 35% saline solution. How much water should he add to make it a 15% solution? A. 600 mL B. 800 mL C. 390 mL D. 510 mL
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5. Jillian and her sister are working as dog groomers during the summer to make some extra money for a cruise. They both work the same hours and earn the same amount of money. After 9 days they each earn $540. How many days will it take for them to save a combined total of $1560? A. 13 days B. 30 days C. 26 days D. None of the above. 6. The table below shows points that are on two lines, y1 and y2. Determine the number of solutions to the system and whether it is consistent or not. If there is a solution, find it. x
y1
y2
β2 β1 0 1 2
β4 β2 0 2 4
β1 1 3 5 7
A. One solution, consistent (2, 1) B. One solution, consistent (0, 0) C. No solutions, inconsistent D. Infinitely many solutions, consistent Copyright Β© Swun Math Grade 8 Trimester 2 Pre-Test, Page 3
7. Solve the system below by linear combination or substitution. Determine the number of solutions and solve, if possible. 5
π¦ =β π₯β4 2 π₯ β 2π¦ = β4 A. One solution, (β2, 1) B. One solution, (β4, β4) C. No solution D. Infinitely many solutions 8. Solve the system below by linear combination or substitution. Determine the number of solutions and solve, if possible. 4π₯ β 2π¦ = β2 4π₯ β 2π¦ = β3 A. One solution, (β2, β3) B. One solution, (4, β2) C. No solution D. Infinitely many solutions
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9. Line A goes through the points (β4, β2)and (8, 6), and Line B goes through the points (2, 16) and (8 β 8). Find the equations for Lines A and B, and determine the point where they intersect. A. (4, 3) B. (5, 4) C. (0, 0) D. None of the above 10. Lucille makes bracelets and wants to sell them at a local craft fair coming up. She can make up to 19 bracelets per day, but doesnβt know how much to sell them for so, she goes to a craft fair in a nearby county to compare prices. One bracelet vendor at the Thurston County Craft fair sells bracelets for $5 and they sell 16 per day. Another vendor sells the bracelets for $7 and they sell 12 per day. How much should Lucille price her bracelets so that she sells 20 per day? A. $5.00 per bracelet B. $5.40 per bracelet C. $6.00 per bracelet D. $5.25 per bracelet
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11. Which set of points, if any, could contain points from a function? R = {(β2, 8), (β6, β3), (β8, β4), (β4, 3), (β6, 0)} S = {(β1, 1), (4, 8), (1, 2), (β3, 3), (4, 5)}
A. R only B. S only C. Both R and S D. Neither R and S 12. Marissa gets a summer job working at her auntβs bakery to make some extra money. She gets paid nine dollars per hour, and receives an additional $20 for making deliveries. Which of the functions below relates her pay, P, each day and the number of hours worked, h? A. β(π) = 9π + 20 B. π(β) = 9β + 20 C. β(π) = 20π + 9 D. π(β) = 20β + 9
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13. If π(π₯ ) =
2π₯ 2 β 3π₯ 6+π₯
, find π(9).
A. 135 B. 0 C. 9 D. None of the above. 14. The graph below represents the function π(π₯ ) = π₯ 2 + 2. Find the domain and range.
-4
-2
12 11 10 9 8 7 6 5 4 3 2 1 0 -1 0 -2 -3 -4
2
4
A. D: {π₯ |π₯ = π } R: {π(π₯)|π(π₯ ) β₯ 2}
C. D: {π₯ |π₯ = π } R: {π(π₯)|π(π₯ ) β€ 2}
B. D: {π₯ |π(π₯ ) β₯ 2} R: {π(π₯)|π(π₯ ) = π }
D. D: {π₯ |π (π₯ ) β€ 2} R: {π(π₯)|π(π₯ ) = π }
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15. Which of the following graphs below, if any are functions? I
-4
-2
II
10 9 8 7 6 5 4 3 2 1 0 -1 0 -2 -3 -4
2
4
12 11 10 9 8 7 6 5 4 3 2 1 0 -1 0 -2 -3 -4
0.5
III 3 2 1 0 0
1.5
IV
4
-1
1
5
10
-2 -3 -4
6 5 4 3 2 1 0 -1 0 -2 -3 -4
A. All are functions. B. I, and IV are functions. C. I, II, and IV are functions. D. None are functions.
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2
4
6
8
16. Which table, if either, contains points that are part of a linear function? x f(x)
β4 9
β2 3
0 β3
2 β9
4 β15
x f(x)
β4 6
β2 3
0 1
2 3
4 6
A. f(x) only B. g(x) only C. Both f(x) and g(x) D. Neither f(x) and g(x) 17. The domain and range of a relation are shown below. Domain β3
Range 2
β1
4
1
5
2
β3
4
Which statement proves that this is not a function? A. One has two inputs. B. Two is the output of two different inputs. C. Five is the output of two different inputs. D. None of the above.
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18. Which set of points, if any, could be some of the points on a linear function? A = {(β8, β8), (β2, 0), (1, 4), (10, 16), (13, 20)} B= {(β2, 5), (β1, 1), (0, 5), (1, β1), (2, 5)}
A. Both A and B B. Only A C. Only B D. Neither A or B 19. Which function is graphed below? 9 8 7 6 5 4 3 2 1 0 -7 -6 -5 -4 -3 -2 -1 -1 0 1 2 3 4 5 6 7 -2 -3 -4 -5 -6 -7 -8 -9 3
A. π(π₯) = β π₯ β 2 5
5
B. π(π₯) = 3 π₯ + 2 3 C. (π₯) = 5 π₯ + 2 5
D. π(π₯) = β 3 π₯ β 2 Copyright Β© Swun Math Grade 8 Trimester 2 Pre-Test, Page 10
20. For what values of x is π(π₯ ) = 1 greater than π(π₯ ) = π₯ 2 β 2 7 6
g(x)
5 4 3 2
f(x)
1 0 -7 -6 -5 -4 -3 -2 -1 -1 0 1 2 3 4 5 6 7 -2 -3 -4
A. β1 β€ π₯ β€ 1 B. 0 β€ π₯ β€ 1 C. π₯ β€ β1 ππ π₯ β₯ 1 D. π₯ = π
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Grade 8 Trimester 2 Pre-Test 1. Determine if the following problem has one solution, no solutions or infinitely many solutions. If there is one solution, find it. Joe is seven years older than Ryan. In 7 years, Joe will be eleven more than Ryanβs current age. How old is Ryan? A. One solution, 7 years old B. One solution, 11 years old C. No solutions D. Infinitely many solutions
2. Determine if the following problem has one solution, no solutions or infinitely many solutions. If there is one solution, find it. If you subtract 16 to this number and triple the sum, the result is the same as is you had left the number unchanged. What is the number? A. One solution, 16 B. One solution, 24 C. No solutions D. Infinitely many solutions Copyright Β© Swun Math Grade 7 Trimester 2 Pre-Test, Page 1
3. Determine if the following problem has one solution, no solutions or infinitely many solutions. If there is one solution, find it. 7 3π₯ π₯β7+ π₯ = + 9 + 2(π₯ + 4) 4 4 A. One solution, β28 B. One solution, 44 C. No solutions D. Infinitely many solutions 4. A chemist has 600 mL of a 35% saline solution. How much water should he add to make it a 15% solution? A. 600 mL B. 800 mL C. 390 mL D. 510 mL
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5. Jillian and her sister are working as dog groomers during the summer to make some extra money for a cruise. They both work the same hours and earn the same amount of money. After 9 days they each earn $540. How many days will it take for them to save a combined total of $1560? A. 13 days B. 30 days C. 26 days D. None of the above. 6. The table below shows points that are on two lines, y1 and y2. Determine the number of solutions to the system and whether it is consistent or not. If there is a solution, find it. x
y1
y2
β2 β1 0 1 2
β4 β2 0 2 4
β1 1 3 5 7
A. One solution, consistent (2, 1) B. One solution, consistent (0, 0) C. No solutions, inconsistent D. Infinitely many solutions, consistent Copyright Β© Swun Math Grade 8 Trimester 2 Pre-Test, Page 3
7. Solve the system below by linear combination or substitution. Determine the number of solutions and solve, if possible. 5
π¦ =β π₯β4 2 π₯ β 2π¦ = β4 A. One solution, (β2, 1) B. One solution, (β4, β4) C. No solution D. Infinitely many solutions 8. Solve the system below by linear combination or substitution. Determine the number of solutions and solve, if possible. 4π₯ β 2π¦ = β2 4π₯ β 2π¦ = β3 A. One solution, (β2, β3) B. One solution, (4, β2) C. No solution D. Infinitely many solutions
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9. Line A goes through the points (β4, β2)and (8, 6), and Line B goes through the points (2, 16) and (8 β 8). Find the equations for Lines A and B, and determine the point where they intersect. A. (4, 3) B. (5, 4) C. (0, 0) D. None of the above 10. Lucille makes bracelets and wants to sell them at a local craft fair coming up. She can make up to 19 bracelets per day, but doesnβt know how much to sell them for so, she goes to a craft fair in a nearby county to compare prices. One bracelet vendor at the Thurston County Craft fair sells bracelets for $5 and they sell 16 per day. Another vendor sells the bracelets for $7 and they sell 12 per day. How much should Lucille price her bracelets so that she sells 20 per day? A. $5.00 per bracelet B. $5.40 per bracelet C. $6.00 per bracelet D. $5.25 per bracelet
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11. Which set of points, if any, could contain points from a function? R = {(β2, 8), (β6, β3), (β8, β4), (β4, 3), (β6, 0)} S = {(β1, 1), (4, 8), (1, 2), (β3, 3), (4, 5)}
A. R only B. S only C. Both R and S D. Neither R and S 12. Marissa gets a summer job working at her auntβs bakery to make some extra money. She gets paid nine dollars per hour, and receives an additional $20 for making deliveries. Which of the functions below relates her pay, P, each day and the number of hours worked, h? A. β(π) = 9π + 20 B. π(β) = 9β + 20 C. β(π) = 20π + 9 D. π(β) = 20β + 9
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13. If π(π₯ ) =
2π₯ 2 β 3π₯ 6+π₯
, find π(9).
A. 135 B. 0 C. 9 D. None of the above. 14. The graph below represents the function π(π₯ ) = π₯ 2 + 2. Find the domain and range.
-4
-2
12 11 10 9 8 7 6 5 4 3 2 1 0 -1 0 -2 -3 -4
2
4
A. D: {π₯ |π₯ = π } R: {π(π₯)|π(π₯ ) β₯ 2}
C. D: {π₯ |π₯ = π } R: {π(π₯)|π(π₯ ) β€ 2}
B. D: {π₯ |π(π₯ ) β₯ 2} R: {π(π₯)|π(π₯ ) = π }
D. D: {π₯ |π (π₯ ) β€ 2} R: {π(π₯)|π(π₯ ) = π }
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15. Which of the following graphs below, if any are functions? I
-4
-2
II
10 9 8 7 6 5 4 3 2 1 0 -1 0 -2 -3 -4
2
4
12 11 10 9 8 7 6 5 4 3 2 1 0 -1 0 -2 -3 -4
0.5
III 3 2 1 0 0
1.5
IV
4
-1
1
5
10
-2 -3 -4
6 5 4 3 2 1 0 -1 0 -2 -3 -4
A. All are functions. B. I, and IV are functions. C. I, II, and IV are functions. D. None are functions.
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2
4
6
8
16. Which table, if either, contains points that are part of a linear function? x f(x)
β4 9
β2 3
0 β3
2 β9
4 β15
x f(x)
β4 6
β2 3
0 1
2 3
4 6
A. f(x) only B. g(x) only C. Both f(x) and g(x) D. Neither f(x) and g(x) 17. The domain and range of a relation are shown below. Domain β3
Range 2
β1
4
1
5
2
β3
4
Which statement proves that this is not a function? A. One has two inputs. B. Two is the output of two different inputs. C. Five is the output of two different inputs. D. None of the above.
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18. Which set of points, if any, could be some of the points on a linear function? A = {(β8, β8), (β2, 0), (1, 4), (10, 16), (13, 20)} B= {(β2, 5), (β1, 1), (0, 5), (1, β1), (2, 5)}
A. Both A and B B. Only A C. Only B D. Neither A or B 19. Which function is graphed below? 9 8 7 6 5 4 3 2 1 0 -7 -6 -5 -4 -3 -2 -1 -1 0 1 2 3 4 5 6 7 -2 -3 -4 -5 -6 -7 -8 -9 3
A. π(π₯) = β π₯ β 2 5
5
B. π(π₯) = 3 π₯ + 2 3 C. (π₯) = 5 π₯ + 2 5
D. π(π₯) = β 3 π₯ β 2 Copyright Β© Swun Math Grade 8 Trimester 2 Pre-Test, Page 10
20. For what values of x is π(π₯ ) = 1 greater than π(π₯ ) = π₯ 2 β 2 7 6
g(x)
5 4 3 2
f(x)
1 0 -7 -6 -5 -4 -3 -2 -1 -1 0 1 2 3 4 5 6 7 -2 -3 -4
A. β1 β€ π₯ β€ 1 B. 0 β€ π₯ β€ 1 C. π₯ β€ β1 ππ π₯ β₯ 1 D. π₯ = π
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